4405125515040 has 144 divisors (see below), whose sum is σ = 15062026707000. Its totient is φ = 1172392083456.

The previous prime is 4405125515039. The next prime is 4405125515047. The reversal of 4405125515040 is 405155215044.

4405125515040 is a `hidden beast` number, since 4 + 4 + 0 + 5 + 12 + 551 + 50 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2636427669264 + 1768697845776 = 1623708^2 + 1329924^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4405125514986 and 4405125515004.

It is not an unprimeable number, because it can be changed into a prime (4405125515047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2272065 + ... + 3737984.

Almost surely, 2^{4405125515040} is an apocalyptic number.

4405125515040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4405125515040 is an abundant number, since it is smaller than the sum of its proper divisors (10656901191960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4405125515040 is a wasteful number, since it uses less digits than its factorization.

4405125515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010579 (or 6010568 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 4405125515040 in words is "four trillion, four hundred five billion, one hundred twenty-five million, five hundred fifteen thousand, forty".